Write the standard form of a parabola with focus at (0,-5) and directrix y=5

This is a vertical parab because the directrix is horiz.  It opens down, because the directrix is above the focus.  The vertex is (0,0), half way between the focus and the directrix.  Thus, p = -5.    Let's use this info

4py = x^2

Here, 4(-5)y = x^2, or -20y = x^2, or y = (-1/20)x^2

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

(B)x = Negative StartFraction 6 over 4 EndFraction

(D)x = negative three-halves

Step-by-step explanation:

We want to determine which fraction is equivalent to

This value of x is the result in Option B.

Reducing to its lowest form:

which is Option D.

Therefore, the correct options are: B and D